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Finding the Fourth Proportional to 3,729.56, 5,148.38 and 2,237.24

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Solution

The fourth proportional to 3,729.56, 5,148.38 and 2,237.24 is: 3,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.56 : 5,148.38 = 2,237.24 : x
  2. Step 2: Convert to fraction form
    3,729.56/5,148.38 = 2,237.24/x
  3. Step 3: Cross multiply
    3,729.56x = 5,148.38 × 2,237.24
  4. Step 4: Simplify right side
    3,729.56x = 11,518,124.74
  5. Step 5: Solve for x
    x = 11,518,124.74/3,729.56
  6. Step 6: Final answer
    x = 3,088.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.